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Journal of Commutative Algebra最新文献

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Multiplicities and Mixed Multiplicities of Filtrations 过滤的多重性和混合多重性
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_9
S. Cutkosky, H. Srinivasan
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引用次数: 0
Generation in Module Categories and Derived Categories of Commutative Rings 交换环的模范畴和派生范畴的生成
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_24
Ryo Takahashi
{"title":"Generation in Module Categories and Derived Categories of Commutative Rings","authors":"Ryo Takahashi","doi":"10.1007/978-3-030-89694-2_24","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_24","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85583717","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ℎ-local Rings ℎ——环
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1090/conm/773/15535
L. Klingler, A. Omairi
{"title":"ℎ-local Rings","authors":"L. Klingler, A. Omairi","doi":"10.1090/conm/773/15535","DOIUrl":"https://doi.org/10.1090/conm/773/15535","url":null,"abstract":"In the 1960’s, Matlis defined an h h -local domain to be a (commutative) integral domain in which each nonzero element is contained in only finitely many maximal ideals and each nonzero prime ideal is contained in a unique maximal ideal. For rings with zero-divisors, by changing “nonzero” to “regular,” one obtains the definition of an h h -local ring. Nearly two dozen equivalent characterizations of h h -local domain have appeared in the literature. We show that most of these remain equivalent to h h -local ring if one also replaces “localization” by “regular localization” and assumes that the ring is a Marot ring (i.e., every regular ideal is generated by its regular elements).","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84245660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rational Points and Trace Forms on a Finite Algebra over a Real Closed Field 实闭域上有限代数上的有理点和迹形
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_22
D. Patil, J. K. Verma
{"title":"Rational Points and Trace Forms on a Finite Algebra over a Real Closed Field","authors":"D. Patil, J. K. Verma","doi":"10.1007/978-3-030-89694-2_22","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_22","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90094002","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Regularity Bounds by Projection 投影正则界
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_20
Wenbo Niu
{"title":"Regularity Bounds by Projection","authors":"Wenbo Niu","doi":"10.1007/978-3-030-89694-2_20","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_20","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86071803","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems 代数几何、交换代数与组合:相互作用与开放问题
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_14
B. Harbourne
{"title":"Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems","authors":"B. Harbourne","doi":"10.1007/978-3-030-89694-2_14","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_14","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77229206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
𝐿-dimension for modules over a local ring 𝐿-dimension用于本地环上的模块
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1090/conm/773/15534
Courtney R. Gibbons, David A. Jorgensen, J. Striuli
{"title":"𝐿-dimension for modules over a local ring","authors":"Courtney R. Gibbons, David A. Jorgensen, J. Striuli","doi":"10.1090/conm/773/15534","DOIUrl":"https://doi.org/10.1090/conm/773/15534","url":null,"abstract":"<p>We introduce a new homological dimension for finitely generated modules over a commutative local ring <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper R\"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=\"application/x-tex\">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, which is based on a complex derived from a free resolution <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\"> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=\"application/x-tex\">L</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of the residue field of <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper R\"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding=\"application/x-tex\">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, and called <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\"> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=\"application/x-tex\">L</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-dimension. We prove several properties of <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\"> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=\"application/x-tex\">L</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-dimension, give some applications, and compare <inline-formula content-type=\"math/mathml\"> <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\"> <mml:semantics> <mml:mi>L</mml:mi> <mml:annotation encoding=\"application/x-tex\">L</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-dimension to complete intersection dimension.</p>","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87862281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Subadditivity of Syzygies of Ideals and Related Problems 理想合的子可加性及其相关问题
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_16
J. McCullough
{"title":"Subadditivity of Syzygies of Ideals and Related Problems","authors":"J. McCullough","doi":"10.1007/978-3-030-89694-2_16","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_16","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79654987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Stanley-Reisner Rings Stanley-Reisner环
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_10
Ralf Fröberg
{"title":"Stanley-Reisner Rings","authors":"Ralf Fröberg","doi":"10.1007/978-3-030-89694-2_10","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_10","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79680502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Zariski-Riemann Space of Valuation Rings 估值环的Zariski-Riemann空间
IF 0.6 4区 数学
Journal of Commutative Algebra Pub Date : 2021-01-01 DOI: 10.1007/978-3-030-89694-2_21
B. Olberding
{"title":"The Zariski-Riemann Space of Valuation Rings","authors":"B. Olberding","doi":"10.1007/978-3-030-89694-2_21","DOIUrl":"https://doi.org/10.1007/978-3-030-89694-2_21","url":null,"abstract":"","PeriodicalId":49037,"journal":{"name":"Journal of Commutative Algebra","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78689936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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